A computational method for the calculation of the feasibility boundary and clustering in differential-algebraic systems

Author

Özcan, Alpay ; Schättler, Heinz

Author_Institution

Washington Univ., Saint Louis, MO, USA

Volume

52

Issue

9

fYear

2005

Firstpage

1940

Lastpage

1952

Abstract

A clustering approach is presented to calculate the limits of parametric stability for a stable equilibrium of the power systems modeled by differential algebraic equations (DAEs) , the so-called "feasibility boundary." The underlying algorithm for calculation is based on the sensitivities of the eigenvalues of the DA system. The procedure is illustrated with several examples based on the standard nine-bus system and test beds formed by connecting sets of two and four nine-bus systems together.

Keywords

circuit theory; differential algebraic equations; eigenvalues and eigenfunctions; pattern clustering; stability; DA system; DAE; continuation method; differential algebraic equation; differential-algebraic system; eigenvalues; feasibility boundary; feasibility clustering; nine-bus system; parametric stability; power system control; Clustering algorithms; Differential algebraic equations; Eigenvalues and eigenfunctions; Nonlinear dynamical systems; Power generation; Power system control; Power system dynamics; Power system modeling; Power system stability; Voltage; Bifurcations; clustering methods; continuation methods; differential-algebraic (DA) systems; eigenvalue sensitivities; feasibility boundary; power system control; stability;

fLanguage

English

Journal_Title

Circuits and Systems I: Regular Papers, IEEE Transactions on

Publisher

ieee

ISSN

1549-8328

Type

jour

DOI

10.1109/TCSI.2005.851671

Filename

1506993